#------------------------------------------------------------------------------#
# FFT
#------------------------------------------------------------------------------#

@article{ct1965,
  title={An algorithm for the machine calculation of complex Fourier series},
  author={Cooley, James W and Tukey, John W},
  journal={Mathematics of computation},
  volume={19},
  number={90},
  pages={297--301},
  year={1965},
  publisher={JSTOR}
}

#------------------------------------------------------------------------------#
# Convex Hull
#------------------------------------------------------------------------------#

@article{jm1973,
  title={On the identification of the convex hull of a finite set of points in the plane},
  author={Jarvis, Ray A},
  journal={Information processing letters},
  volume={2},
  number={1},
  pages={18--21},
  year={1973},
  publisher={Elsevier}
}

@article{gs1972,
  title={An efficient algorithm for determining the convex hull of a finite planar set},
  author={Graham, Ronald L},
  journal={Information processing letters},
  volume={1},
  number={4},
  pages={132--133},
  year={1972},
  publisher={Elsevier}
}

#------------------------------------------------------------------------------#
# Plotting
#------------------------------------------------------------------------------#

@misc{gnuplot,
  title={Gnuplot 5.0: An Interactive Plotting Program, Official Gnuplot Documentation},
  author={Williams, T and Kelley, C},
  year={2015}
}

#------------------------------------------------------------------------------#
# Computus
#------------------------------------------------------------------------------#

@book{bede725,
  title={Bede, the Reckoning of Time},
  author={Venerabilis, Beda and others},
  volume={29},
  year={1999},
  publisher={Liverpool University Press}
}

@misc{dictcomputus,
  title={Dictionary.com definition of computus},
  url={https://www.merriam-webster.com/dictionary/computus},
  year={2020}
}

@article{computus1876,
  title={To find Easter: a new York correspondent sends us the following},
  author={unknown},
  journal={Nature},
  year={1876}
}

@article{bien2004,
  title={Gauss and beyond: The making of Easter algorithms},
  author={Bien, Reinhold},
  journal={Archive for history of exact sciences},
  volume={58},
  number={5},
  pages={439--452},
  year={2004},
  publisher={Springer}
}

@inproceedings{servois,
  title={84 Calendrier},
  author={Servois, M},
  booktitle={Annales de Mathématiques pures et appliquées},
  volume={4},
  number={1813-1814},
  pages={84--90}
}

@article{standish2004,
  title={The astronomical unit now},
  author={Standish, EM},
  journal={Proceedings of the International Astronomical Union},
  volume={2004},
  number={IAUC196},
  pages={163--179},
  year={2004},
  publisher={Cambridge University Press}
}

@misc{lunar_month_wiki,
  title={Wikipedia: Lunar Month},
  url={https://en.wikipedia.org/wiki/Lunar_month},
  year={2020}
}

#------------------------------------------------------------------------------#
# IFS
#------------------------------------------------------------------------------#
@misc{self-similar,
  title={Wikipedia: Self-similarity},
  url={https://en.wikipedia.org/wiki/Self-similarity},
  year={2019}
}

@misc{hausdorff,
  title={Wikipedia: Hausdorff dimension},
  url={https://en.wikipedia.org/wiki/Hausdorff_dimension},
  year={2019}
}

@misc{3b1bfractal,
  author={Sanderson, G},
  title={3blue1brown: Fractals are typically not self-similar},
  url={https://www.youtube.com/watch?v=gB9n2gHsHN4},
  year={2017}
}

@book{mandelbrot1983fractal,
  title={The fractal geometry of nature},
  author={Mandelbrot, Benoit B},
  volume={173},
  year={1983},
  publisher={WH freeman New York}
}

@article{mandelbrot1967long,
  title={How long is the coast of Britain? Statistical self-similarity and fractional dimension},
  author={Mandelbrot, Benoit},
  journal={science},
  volume={156},
  number={3775},
  pages={636--638},
  year={1967},
  publisher={American Association for the Advancement of Science}
}

@article{jampour2010new,
  title={A new fast technique for fingerprint identification with fractal and chaos game theory},
  author={Jampour, Mahdi and Yaghoobi, Mahdi and Ashourzadeh, Maryam and Soleimani, Adel},
  journal={Fractals},
  volume={18},
  number={03},
  pages={293--300},
  year={2010},
  publisher={World Scientific}
}

@misc{fractal-compression,
  title={Wikipedia: Fractal Compression},
  url={https://en.wikipedia.org/wiki/Fractal_compression},
  year={2019}
}

@article{saupe1994review,
  title={A review of the fractal image compression literature},
  author={Saupe, Dietmar and Hamzaoui, Raouf},
  journal={ACM SIGGRAPH Computer Graphics},
  volume={28},
  number={4},
  pages={268--276},
  year={1994},
  publisher={ACM}
}

@article{gneiting2012estimators,
  title={Estimators of fractal dimension: Assessing the roughness of time series and spatial data},
  author={Gneiting, Tilmann and Ševčíková, Hana and Percival, Donald B},
  journal={Statistical Science},
  pages={247--277},
  year={2012},
  publisher={JSTOR}
}

@article{hutchinson1981fractals,
  title={Fractals and self similarity},
  author={Hutchinson, John E},
  journal={Indiana University Mathematics Journal},
  volume={30},
  number={5},
  pages={713--747},
  year={1981},
  publisher={JSTOR}
}

@misc{hutchinson-operator,
  title={Wikipedia: Hutchinson Operator},
  url={https://en.wikipedia.org/wiki/Hutchinson_operator},
  year={2019}
}

@misc{chaos-game,
  title={Wikipedia: Chaos Game},
  url={https://en.wikipedia.org/wiki/Chaos_game},
  year={2019}
}

@misc{chaos-game-wolf,
  title={Wolfram: Chaos Game},
  url={http://mathworld.wolfram.com/ChaosGame.html},
  year={2019}
}

@book{barnsley2014fractals,
  title={Fractals everywhere},
  author={Barnsley, Michael F},
  year={2014},
  publisher={Academic press}
}

#------------------------------------------------------------------------------#
# Domain Coloring
#------------------------------------------------------------------------------#

@misc{hsv,
  title={Wikipedia: HSL and HSV},
  url={https://en.wikipedia.org/wiki/HSL_and_HSV},
  year={2020}
}

@article{schloss2019,
  title={Massively parallel split-step Fourier techniques for simulating quantum systems on graphics processing units},
  author={Schloss, James},
  year={2019}
}

@book{pethick2008,
  title={Bose--Einstein condensation in dilute gases},
  author={Pethick, Christopher J and Smith, Henrik},
  year={2008},
  publisher={Cambridge university press}
}

@book{wegert2012,
  title={Visual complex functions: an introduction with phase portraits},
  author={Wegert, Elias},
  year={2012},
  publisher={Springer Science \& Business Media}
}

@article{poelkedomain,
  title={Domain Coloring of Complex Functions},
  author={Poelke, Konstantin and Polthier, Konrad}
}

@article{lundmark2004,
  title={Visualizing complex analytic functions using domain coloring},
  author={Lundmark, Hans},
  journal={Recuperado el},
  volume={24},
  year={2004}
}

#------------------------------------------------------------------------------#
# Flood Fill
#------------------------------------------------------------------------------#

@misc{gimp_bucket,
  title={Bucket Fill in Gimp},
  url={https://docs.gimp.org/2.10/en/gimp-tool-bucket-fill.html},
  year={2020}
}

@book{torbert2016,
  title={Applied computer science},
  author={Torbert, Shane},
  year={2016},
  pages={158},
  publisher={Springer}
}

#------------------------------------------------------------------------------#
# Convolutions
#------------------------------------------------------------------------------#

@article{canny1986computational,
  title={A computational approach to edge detection},
  author={Canny, John},
  journal={IEEE Transactions on pattern analysis and machine intelligence},
  number={6},
  pages={679--698},
  year={1986},
  publisher={Ieee}
}

#------------------------------------------------------------------------------#
# Counting                                                                     #
#------------------------------------------------------------------------------#

@article{morris1978counting,
  title={Counting large numbers of events in small registers},
  author={Morris, R},
  journal={Communications of the ACM},
  volume={21},
  number={10},
  pages={840--842},
  year={1978},
  publisher={ACM New York, NY, USA}
}

@article{flajolet1985approximate,
  title={Approximate counting: a detailed analysis},
  author={Flajolet, P},
  journal={BIT Numerical Mathematics},
  volume={25},
  number={1},
  pages={113--134},
  year={1985},
  publisher={Springer}
}

@misc{arpit_counting,
  title={Morris's Algorithm for Approximate Counting},
  author={Bhayani, A},
  url={https://arpitbhayani.me/blogs/morris-counter},
  year={2020}
}

@misc{greggunderson_counting,
  title={Approximate Counting with Morris's Algorithm},
  author={Gundersen, G},
  url={http://gregorygundersen.com/blog/2019/11/11/morris-algorithm/},
  year={2019}
}

@misc{3b1b_finger_count,
  title={How to count to 1000 on two hands},
  author={Sanderson, G},
  url={https://youtu.be/1SMmc9gQmHQ},
  year={2015}
}

#------------------------------------------------------------------------------#
# Metropolis                                                                   #
#------------------------------------------------------------------------------#

@article{metropolis1953equation,
author = {Metropolis,Nicholas  and Rosenbluth,Arianna W.  and Rosenbluth,Marshall N.  and Teller,Augusta H.  and Teller,Edward },
title = {Equation of State Calculations by Fast Computing Machines},
journal = {The Journal of Chemical Physics},
volume = {21},
number = {6},
pages = {1087-1092},
year = {1953},
doi = {10.1063/1.1699114},

URL = { 
        https://doi.org/10.1063/1.1699114
    
},
eprint = { 
        https://doi.org/10.1063/1.1699114
    
}

}

@article{rosenthal2011optimal,
  title={Optimal proposal distributions and adaptive MCMC},
  author={Rosenthal, Jeffrey S and others},
  journal={Handbook of Markov Chain Monte Carlo},
  volume={4},
  number={10.1201},
  year={2011},
  publisher={Chapman & Hall/CRC Boca Raton, FL}
}

@article{gareth2001optimal,
author = {Gareth O. Roberts and Jeffrey S. Rosenthal},
title = {Optimal scaling for various Metropolis-Hastings algorithms},
volume = {16},
journal = {Statistical Science},
number = {4},
publisher = {Institute of Mathematical Statistics},
pages = {351 -- 367},
year = {2001},
doi = {10.1214/ss/1015346320},
URL = {https://doi.org/10.1214/ss/1015346320}
}

@misc{potential_energy_wiki,
  title={Wikipedia: Potential Energy},
  url={https://en.wikipedia.org/wiki/Potential_energy},
  year={2021}
}

@misc{ludwig_boltzmann_wiki,
  title={Wikipedia: Ludwig Boltzmann},
  url={https://en.wikipedia.org/wiki/Ludwig_Boltzmann},
  year={2021}
}

@misc{boltzmann_distribution_wiki,
  title={Wikipedia: Boltzmann distribution},
  url={https://en.wikipedia.org/wiki/Boltzmann_distribution},
  year={2021}
}

@article{hastings1970monte,
    author = {Hastings, W. K.},
    title = "Monte Carlo sampling methods using Markov chains and their applications",
    journal = {Biometrika},
    volume = {57},
    number = {1},
    pages = {97-109},
    year = {1970},
    month = {04},
    abstract = "{A generalization of the sampling method introduced by Metropolis et al. (1953) is presented along with an exposition of the relevant theory, techniques of application and methods and difficulties of assessing the error in Monte Carlo estimates. Examples of the methods, including the generation of random orthogonal matrices and potential applications of the methods to numerical problems arising in statistics, are discussed.}",
    issn = {0006-3444},
    doi = {10.1093/biomet/57.1.97},
    url = {https://doi.org/10.1093/biomet/57.1.97},
    eprint = {https://academic.oup.com/biomet/article-pdf/57/1/97/23940249/57-1-97.pdf},
}

@misc{mala_wiki,
  title={Wikipedia: Metropolis-adjusted Langevin Algorithm},
  url={https://en.wikipedia.org/wiki/Metropolis-adjusted_Langevin_algorithm},
  year={2021}
}

@misc{hmc_wiki,
  title={Wikipedia: Hamiltonian Monte Carlo},
  url={https://en.wikipedia.org/wiki/Hamiltonian_Monte_Carlo},
  year={2021}
}

@misc{rmsd_wiki,
  title={Wikipedia: Root Mean Square Deviation},
  url={https://en.wikipedia.org/wiki/Root-mean-square_deviation},
  year={2021}
}

#------------------------------------------------------------------------------#
# Cryptography
#------------------------------------------------------------------------------#

@misc{ceasar_cipher_wiki,
  title={Wikipedia: Ceasar Cipher},
  url={https://en.wikipedia.org/wiki/Caesar_cipher},
  year={2022}
}

@misc{post-quantum_crypto_wiki,
  title={Wikipedia: Post-quantum Cryptography},
  url={https://en.wikipedia.org/wiki/Post-quantum_cryptography},
  year={2022}
}

@misc{Kerckhoffs_principle_wiki,
  title={Wikipedia: Kerckhoffs's principle},
  url={https://en.wikipedia.org/wiki/Kerckhoffs%27s_principle},
  year={2022}
}

@misc{rot13_wiki,
  title={Wikipedia: ROT13},
  url={https://en.wikipedia.org/wiki/ROT13},
  year={2022}
}

@misc{CC_permutation,
  title={Crypto Corner: Permutation Cipher},
  url={https://crypto.interactive-maths.com/permutation-cipher.html},
  year={2022}
}

@misc{xor_cipher_wiki,
  title={Wikipedia: XOR cipher},
  url={https://en.wikipedia.org/wiki/XOR_cipher},
  year={2022}
}

@misc{DES_wiki,
  title={Wikipedia: Data Encryption Standard},
  url={https://en.wikipedia.org/wiki/Data_Encryption_Standard},
  year={2022}
}

@misc{AES_wiki,
  title={Wikipedia: Advanced Encryption Standard},
  url={https://en.wikipedia.org/wiki/Advanced_Encryption_Standard},
  year={2022}
}

@misc{blowfish_cipher_wiki,
  title={Wikipedia: Blowfish (cipher)},
  url={https://en.wikipedia.org/wiki/Blowfish_(cipher)},
  year={2022}
}

@misc{RSA_wiki,
  title={Wikipedia: RSA (cryptosystem)},
  url={https://en.wikipedia.org/wiki/RSA_(cryptosystem)},
  year={2022}
}

@misc{ECC_crypto_wiki,
  title={Wikipedia: Elliptic-curve cryptography},
  url={https://en.wikipedia.org/wiki/Elliptic-curve_cryptography},
  year={2022}
}

#------------------------------------------------------------------------------#
# BOX--MULLER
#------------------------------------------------------------------------------#

@article{box1958,
  title={A note on the generation of random normal deviates},
  author={Box, George EP},
  journal={Ann. Math. Statist.},
  volume={29},
  pages={610--611},
  year={1958}
}

@misc{marsaglia_wiki,
  title={Wikipedia: Marsaglia Transform},
  url={https://en.wikipedia.org/wiki/Marsaglia_polar_method},
  year={2022}
}

@misc{box_muller_wiki,
  title={Wikipedia: Box-Muller Transform},
  url={https://en.wikipedia.org/wiki/Box%E2%80%93Muller_transform},
  year={2022}
}
